Respuesta :

calculista

Let

[tex]f(x)=x^{2}-1[/tex]

[tex]g(x)=x+1[/tex]

we know that

The function f(x) is a vertical parabola open upward

the vertex is the point [tex](0,-1)[/tex] ------> is a minimum

The function g(x) is a linear equation

The y-intercept is the point [tex](0,1)[/tex] -----> for [tex]x=0[/tex] find the value of g(x)

therefore

the answer in the attached figure

Ver imagen calculista

The graph that can be used to find the solution of the given polynomial is given by option C) and this can be determined by using the given data.

Given :

Equation  --- [tex]x^2 -1 = x+1[/tex]

The following steps can be used in order to determine the graph that can be used to find the solution of the given polynomial:

Step 1 - Separate LHS and RHS of the given polynomial.

[tex]\rm y = x^2-1[/tex]   --- (1)

y = x + 1   --- (2)

Step 2 - Draw the graph of a line (y = x + 1) that passes through the points (-1,0) and (0,1).

Step 3 - Now, draw the graph of the equation (1). The shape of this graph is the upward parabola.

Step 4 - The two graphs intersect each other at (-1,0) and (2,3).

From the above steps, it can be concluded that the correct option is C).

For more information, refer to the link given below:

https://brainly.com/question/14375099

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